报告1
报告题目：Comparison theorems for integral Bakry-Emery curvature bounds
报告时间：2018年7月4日（星期三）09:00—09:25
报告地点：悉尼大学中国中心（苏州园区月亮湾路10号慧湖大厦A幢12楼1202室）
报告人：Jiayong Wu (Shanghai Maritime University)
报告提要：We prove some new comparison theorems for integral Bakry-Emery curvature bounds. As applications, some geometric results with the integral Bakry-Emery curvature are provided.
报告2
报告题目：Kähler-Ricci flow on Fano bundles
报告时间：2018年7月4日（星期三）09:30—09:55
报告地点：悉尼大学中国中心
报告人：Shijin Zhang (Beihang University)
报告提要：In this talk, I will talk about the behavior of the Kähler-Ricci flow on some Fano bundles which is a trivial bundle on one Zariski open set. We show that if the fiber is P^m blown up at one point and the initial metric is in a suitable Kähler class, then the fibers collapse in finite time and the metrics converge sub-sequentially in Gromov-Hausdorff sense to a metric on the base. This is a joint work with Xin Fu.
报告3
报告题目：Regularity and uniqueness of the solutions of some degenerate Monge-Ampère equations
报告时间：2018年7月4日（星期三）10:00—10:25
报告地点：悉尼大学中国中心
报告人：Genggeng Huang (Fudan University)
报告提要：In this talk, we mainly focus on the following Monge-Ampère equation:
det D2u = Λp(−u)p, in Ω,
u = 0, on ∂Ω,
where Ω is a bounded smooth uniformly convex domain in R^n. We will recall some regularity results of this degenerate Monge-Ampère equation. At last, we will talk about some recent work on the uniqueness of the non-trivial solution of the above equation.
报告4
报告题目：Ricci flow on complete manifolds and applications
报告时间：2018年7月4日（星期三）11:00—11:25
报告地点：悉尼大学中国中心
报告人：Fei He (Xiamen University)
报告提要：I will talk about some recent progress on the Ricci flow on complete noncompact manifolds with possibly unbounded curvature, and introduce some application of the flow.
报告5
报告题目：On the extension of the Ricci Bourguignon flow
报告时间：2018年7月4日（星期三）11:30—11:55
报告地点：悉尼大学中国中心
报告人：Anqiang Zhu (Wuhan University)
报告提要：In this report, we will talk about the extension problem of the Ricci Bourguignon flow on Riemannian manifolds. Using Kotschwar-Wang-Munteanu's method, we will show that the norm of the Weyl tensor of any smooth solution to the Ricci Bourguignon flow can be explicitly estimated in terms of its initial value on a given ball, a local uniform bound on the Ricci tensor. As an application, we show that along the Ricci Bourguignon flow, if the Ricci curvature is bounded, then the curvature operator is bounded.